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NEW PERSPECTIVES ON HENRY LUDWELL MOORE’S USE OF HARMONIC ANALYSIS

Published online by Cambridge University Press:  28 September 2020

Paul Turner
Affiliation:
Paul Turner and Justine Wood: Loughborough University.
Justine Wood
Affiliation:
Paul Turner and Justine Wood: Loughborough University.

Abstract

This paper reconsiders the contribution of Henry Ludwell Moore to dynamic economics through the use of harmonic analysis. We show that Moore’s analysis is innovative in its use of the Fourier transformation for the identification of cycles with different periodicities. This enables Moore to identify cycles of longer length with more precision than would be the case for the standard methodology. We are able to replicate the main features of his results and confirm the existence of a rainfall cycle with a periodicity similar to that of the business cycle (eight years). However, we find that the evidence for a longer (thirty-three-year) rainfall cycle is weaker than Moore indicates. We also argue that a central theme of Moore’s analysis—the relationship among rainfall, agricultural productivity, and the business cycle—marks an early precursor of the “real business cycle” approach. George Stigler’s (1962) dismissal of Moore’s work on cycles as “a complete failure” is therefore, in our opinion, unfair. Instead, we argue that, although his work is certainly flawed, it nevertheless deserves a place in both the history of business cycle theory and empirical economics.

Type
Articles
Copyright
© The History of Economics Society, 2020

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Footnotes

Thanks are due to the editor and two anonymous referees for numerous insightful comments on an earlier draft of this paper.

References

REFERENCES

Beveridge, William H. 1922. “Wheat Prices and Rainfall in Western Europe.” Journal of the Royal Statistical Society 85: 412459.CrossRefGoogle Scholar
Boianovsky, Mauro, and Erreygers, Guido. 2007. “Early Contributions to Quantitative Business Cycle Research: An Introduction.” The European Journal of the History of Economic Thought 14 (3): 415421.CrossRefGoogle Scholar
Boumans, Marcel. 1999. “Built-in Justification.” In Morgan, M. S. and Morrison, M., eds., Models as Mediators. Cambridge: Cambridge University Press, pp. 6696.CrossRefGoogle Scholar
Boumans, Marcel. 2005. How Economists Model the World into Numbers. Oxon: Routledge.Google Scholar
Cargill, Thomas F. 1974. “Early Applications of Spectral Methods to Economic Time Series.” History of Political Economy 6: 116.CrossRefGoogle Scholar
Fishman, George S. 1969. Spectral Methods in Econometrics. Cambridge: Harvard University Press.CrossRefGoogle Scholar
Fourier, Joseph. 1822. Théorie Analytique de la Chaleur. Paris: Firmin Didot. Edition translated by Freeman, A., New York: Dover Publications, Inc., 1822. Reissued by Cambridge: Cambridge University Press, 2009.Google Scholar
Fourier, Joseph. 1955The Analytical Theory of Heat. Translated with notes by Freeman, Alexander. Mineola, NY: Dover Books.Google Scholar
Frisch, Ragnar. 1933. “Editorial.” Econometrica I: 1.Google Scholar
Harvey, Andrew C. 1981. Time Series Models. Second edition. London: Harvester-Wheatsheaf.Google Scholar
Hendry, David F., and Morgan, Mary S.. 1995. The Foundations of Econometric Analysis. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Ingraham, Mark H. 1923. “On Professor H. L. Moore’s Mathematical Analysis of the Business Cycle.” Journal of the American Statistical Association 18 (1): 759765.CrossRefGoogle Scholar
Jovanovic, Franck, and Le Gall, Philippe. 2001. “Does God Practice a Random Walk? The 'Financial Physics' of a Nineteenth-Century Forerunner, Jules Regnault.” European Journal of the History of Economic Thought 8 (3): 332362.CrossRefGoogle Scholar
Klein, Judy L. 1997. Statistical Visions in Time: A History of Time Series Analysis, 1662–1938. Cambridge: Cambridge University Press.Google Scholar
Le Gall, Philippe. 1999. “A World Ruled by Venus: On Henry L. Moore’s Transfer of Periodogram Analysis from Physics to Economics.” History of Political Economy 31 (4): 723.CrossRefGoogle Scholar
Mills, Terence C. 2011. The Foundations of Modern Time Series Analysis. Palgrave Advanced Texts in Econometrics. London: Palgrave Macmillan.CrossRefGoogle Scholar
Mirowski, Philip. 1989. More Heat than Light: Economics as Social Physics, Physics as Nature’s Economics. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Mitchell, Wesley C. 1927. Business Cycles: The Problem and Its Setting. New York: National Bureau of Economic Research.Google Scholar
Moore, Henry L. 1914. Economic Cycles, Their Law and Cause. New York: The Macmillan Company.Google Scholar
Moore, Henry L.. 1917. Forecasting the Yield and Price of Cotton. New York: MacMillan.Google Scholar
Moore, Henry L. 1923. Generating Economic Cycles. New York: The Macmillan Company.CrossRefGoogle Scholar
Moore, Henry L.. 1925. “A Moving Equilibrium of Demand and Supply.” Quarterly Journal of Economics 39: 357371.Google Scholar
Moore, Henry L. 1929. Synthetic Economics. New York: The Macmillan Company.Google Scholar
Morgan, Mary S. 1990. The History of Econometric Ideas. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Regnault, Jules. 1863. Calcul des Chances et Philosophie de la Bourse. Paris: Mallet Bachelier and Castel.Google Scholar
Schabas, Margaret. 1990. A World Ruled by Number: William Stanley Jevons and the Rise of Mathematical Economics. Princeton: Princeton University Press.CrossRefGoogle Scholar
Schumpeter, Joseph. 1939. Business Cycles. Two volumes. New York: McGraw-Hill.Google Scholar
Schuster, Arthur. 1898. “On the Investigation of Hidden Periodicities with Application to a Supposed 26-Day Period of Meteorological Phenomena.” Terrestrial Magnetism 3 (1): 1314.CrossRefGoogle Scholar
Schuster, Arthur. 1899. “The Periodogram of Magnetic Declination as Obtained from the Records of the Greenwich Observatory during the Years 1871–1895.” Cambridge Philosophical Society Transactions 18.Google Scholar
Schuster, Arthur. 1906. “On the Periodicities of Sunspots.” Philosophical Transactions of the Royal Society of London, Series A 206: 69100.Google Scholar
Stigler, George J. 1962. “Henry L. Moore and Statistical Economics.” Econometrica 30 (1): 121.CrossRefGoogle Scholar
Turner, Herbert H. 1913. “Example of the Use of the Tables.” In Tables for Facilitating the Use of Harmonic Analysis. London: Oxford University Press, pp. 3846.Google Scholar
Wright, Philip G. 1922. “Moore’s Work in Cycles: A Review.” Quarterly Journal of Economics 36: 691704.CrossRefGoogle Scholar
Wulwick, Nancy J. 1992. “The Folklore of H. L. Moore on the Demand for Pig Iron.” Journal of the History of Economic Thought 14: 168188.CrossRefGoogle Scholar
Yule, G. Udny. 1915. “Review of Economic Cycles: Their Law and Cause by H. L. Moore.” Journal of the Royal Statistical Society 78 (2): 302305.Google Scholar